Application of dynamic mode decomposition to Rossi-α method in a critical state using file-by-file moving block bootstrap method

T Endo, F Nishioka, A Yamamoto… - journal of nuclear …, 2022 - Taylor & Francis
Prompt neutron decay constant α in a critical state is useful information to validate the
numerically predicted ratio of the point kinetics parameters β eff/ℓ, where β eff and ℓ are the …

Comparison of theoretical formulae and bootstrap method for statistical error estimation of Feynman-α method

T Endo, A Yamamoto - Annals of Nuclear Energy, 2019 - Elsevier
This paper discusses the statistical error of the variance-to-mean ratio, or the Y value in the
Feynman-α method, from a single measurement of reactor noise. As a theoretical approach …

Applicability of dynamic mode decomposition to estimate fundamental mode component of prompt neutron decay constant from experimental data

F Nishioka, T Endo, A Yamamoto… - Nuclear Science and …, 2022 - Taylor & Francis
To robustly estimate the fundamental mode component of prompt neutron decay constant α
in a subcritical system, dynamic mode decomposition (DMD) is applied to time-series data …

Higher harmonic analyses of the Rossi-α method and application of dynamic mode decomposition for time decay constant determination in a 1D subcritical system

T Yamamoto, H Sakamoto - Annals of Nuclear Energy, 2022 - Elsevier
An exact formula for the joint probability of pair neutron detection for the Rossi-α method,
which is composed of the sum of a large number of higher harmonics, is verified in this study …

Experimental validation of noise theory developed by considering the source as an exponentially correlated process in DT neutron generator driven subcritical system

NK Ray, LM Pant, T Patel, R Kumar, T Roy… - Progress in Nuclear …, 2019 - Elsevier
Degweker and Rana (2007) have developed a noise theory considering the external
neutron source as exponentially correlated Gaussian character for Accelerator Driven …

[PDF][PDF] Higher order α mode eigenvalue calculation by Monte Carlo power iteration

T Yamamoto - Progress in Nuclear Science and Technology, 2011 - aesj.net
A recently proposed method implementing a pseudo absorption term in the neutron
transport equation for α mode eigenvalue calculations in the Monte Carlo technique has …

[HTML][HTML] Uncertainty quantification in Bayesian inverse problems with neutron and gamma time correlation measurements

P Lartaud, P Humbert, J Garnier - Annals of Nuclear Energy, 2025 - Elsevier
Neutron noise analysis is a predominant technique for fissile matter identification with
passive methods. Quantifying the uncertainties associated with the estimated nuclear …

Detected-neutron multiplication factor measured by neutron source multiplication method

T Endo, A Yamamoto, Y Yamane - Annals of Nuclear Energy, 2011 - Elsevier
An alternative definition of neutron multiplication factor measured by the neutron source
multiplication (NSM) method is newly proposed. This newly defined neutron multiplication …

Theoretical derivation of a unique combination number hidden in the higher-order neutron correlation factors using the Pál-Bell equation

T Endo, F Nishioka, A Yamamoto… - Nuclear Science and …, 2023 - Taylor & Francis
The Pál-Bell equation is a backward-type master equation that describes the probability
generating function (PGF) of neutron counts in a neutron multiplication system. Thanks to the …

The two point Feynman-α theory: Theory and practice of Ex-Core reactor noise measurement

C Dubi, E Magali, O Ozeri, A Krakovich, A Pesach… - Annals of Nuclear …, 2025 - Elsevier
The Feynman-α method is a widely used realization of the so-called” reactor noise” theory,
where static and kinetic parameters of the core are estimated by sampling statistical …